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3 years ago

i need to see work and answer so i can copy the work and answer plz make it clear to me plz help me plz i dont want to fail

Mathematics

2 answers:

kykrilka [37]3 years ago

6 0

(a) (i) In first 4 minutes Mary's speed was 600 / 4 = 150 m / minute

(ii) in last 4 minutes her speed was (1000-600) / 4 = 400/4 = 100 m/min

(b) Marys average speed for the whole journey = 1000/8 = 125 m/min

(d) Peter arrived at school after 7 minutes . Mary took 8 minutes. Peter first.

(e) Where they met is given by where the 2 curves intersect. That is at time 6.8 minutes and 880 m from Mary's home

(f) At t= 4 dsitance between then is 600 - 400 = 200 m

Read more on Brainly.com - brainly.com/question/9982685#readmore

jekas [21]3 years ago

3 0

(a) (i) In first 4 minutes Mary's speed was 600 / 4 = 150 m / minute
(ii) in last 4 minutes her speed was (1000-600) / 4 = 400/4 = 100 m/min
(b) Marys average speed for the whole journey = 1000/8 = 125 m/min
(c) 200 m
(d) Peter arrived at school after 7 minutes . Mary took 8 minutes. Peter first.
(e) Where they met is given by where the 2 curves intersect. That is at time 6.8 minutes and 880 m from Mary's home
(f) At t= 4 dsitance between then is 600 - 400 = 200 m

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Step-by-step explanation:

Part A

The average rate of change of a function over the interval $[a,b]$ is equal to $\frac{f(b)-f(a)}{b-a}$ , hence:

$\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}$

Therefore, the average rate of change of $f(x)$ over the interval $[5,9]$ is $\frac{9}{2}$ .

Part B

Do the same thing as in Part A:

$\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4$

Therefore, the average rate of change of $g(x)$ over the interval $[0.25,1]$ is $-4$ .

Part C

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

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Step-by-step explanation:

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3 years ago

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3 years ago

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